Details

sample50.0ms

Algorithm

intervals

Results

17.0ms	109×	body	1280	valid
11.0ms	76×	body	640	valid
4.0ms	388×	pre	80	true
3.0ms	47×	body	320	valid
2.0ms	137×	body	80	valid
1.0ms	19×	body	160	valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	2
1	7	2
2	7	2

prune2.0ms

Filtered

1 candidates to 0 candidates (100.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 58.5b

Counts

2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

5.3b	(- (exp x) 1.0)

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-sqr-sqrt` `*-un-lft-identity` `add-log-exp`
1×	`pow1` `add-exp-log` `add-cube-cbrt` `sub-neg` `flip3--` `diff-log` `add-cbrt-cube` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

1 → 14

Calls

1 calls:

4.0ms

(- (exp x) 1.0)

series3.0ms

Counts

1 → 3

Calls

1 calls:

3.0ms

(- (exp x) 1.0)

simplify51.0ms

Algorithm

egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	81	72
1	185	67
2	499	66
3	1399	66
4	5002	66

prune46.0ms

Filtered

17 candidates to 12 candidates (29.4%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	13	4	17
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	14	4	18

Merged error: 0.0b

Counts

18 → 4

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (pow x 2) (+ (* x 1/6) 1/2))
0.3b	(* x 1/6)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
11×	`associate-l`
9×	`add-exp-log`
7×	`add-cube-cbrt` `*-un-lft-identity`
6×	`associate-r` `add-cbrt-cube`
5×	`unswap-sqr`
4×	`pow1` `unpow-prod-down` `prod-exp`
2×	`associate-r/` `-commutative` `cbrt-unprod` `unpow2` `add-log-exp` `sqr-pow`
1×	`distribute-rgt-in` `pow-to-exp` `distribute-lft-in` `flip3-+` `pow-prod-down` `pow-exp` `flip-+`

Counts

2 → 49

Calls

2 calls:

7.0ms	(* (pow x 2) (+ (* x 1/6) 1/2))
3.0ms	(* x 1/6)

series8.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(* (pow x 2) (+ (* x 1/6) 1/2))
2.0ms	(* x 1/6)

simplify40.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	247	238
1	1168	215
2	5001	215

prune146.0ms

Filtered

55 candidates to 35 candidates (36.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	55	0	55
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	55	4	59

Merged error: 0.0b

Counts

59 → 4

localize5.0ms

Local error

Found 3 expressions with local error:

0.0b	(pow (- (exp x) 1.0) 3)
0.1b	(cbrt (pow (- (exp x) 1.0) 3))
5.3b	(- (exp x) 1.0)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt` `*-un-lft-identity`
16×	`cbrt-prod`
10×	`unpow-prod-down` `cube-prod`
9×	`add-cube-cbrt`
5×	`distribute-lft-out--` `add-log-exp` `difference-of-squares`
4×	`pow1` `add-exp-log` `cube-div` `add-cbrt-cube`
3×	`pow-unpow` `flip3--` `flip--`
2×	`cube-mult` `cbrt-div` `unpow3` `sqr-pow`
1×	`pow-to-exp` `sub-neg` `pow-pow` `pow1/3` `diff-log` `pow-exp` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

3 → 70

Calls

3 calls:

5.0ms	(pow (- (exp x) 1.0) 3)
5.0ms	(cbrt (pow (- (exp x) 1.0) 3))
4.0ms	(- (exp x) 1.0)

series13.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(pow (- (exp x) 1.0) 3)
5.0ms	(cbrt (pow (- (exp x) 1.0) 3))
2.0ms	(- (exp x) 1.0)

simplify33.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	224	382
1	855	367
2	5002	359

prune136.0ms

Filtered

79 candidates to 40 candidates (49.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	77	2	79
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	79	4	83

Merged error: 0.0b

Counts

83 → 4

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (- (exp x) 1.0) 3)
0.1b	(cbrt (pow (- (exp x) 1.0) 3))
0.1b	(cbrt (pow (cbrt (pow (- (exp x) 1.0) 3)) 3))
5.3b	(- (exp x) 1.0)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

92×	`cbrt-prod`
39×	`unpow-prod-down` `cube-prod`
37×	`add-sqr-sqrt` `*-un-lft-identity`
19×	`add-cube-cbrt`
9×	`distribute-lft-out--` `difference-of-squares`
8×	`cube-div`
6×	`cbrt-div` `add-log-exp`
5×	`pow1` `add-exp-log` `cube-mult` `unpow3` `add-cbrt-cube` `sqr-pow`
4×	`flip3--` `flip--`
3×	`pow-unpow`
2×	`pow1/3` `rem-cbrt-cube`
1×	`pow-to-exp` `sub-neg` `pow-pow` `diff-log` `pow-exp` `rem-cube-cbrt`

Counts

4 → 125

Calls

4 calls:

5.0ms	(pow (- (exp x) 1.0) 3)
5.0ms	(cbrt (pow (- (exp x) 1.0) 3))
9.0ms	(cbrt (pow (cbrt (pow (- (exp x) 1.0) 3)) 3))
4.0ms	(- (exp x) 1.0)

series12.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(pow (- (exp x) 1.0) 3)
2.0ms	(cbrt (pow (- (exp x) 1.0) 3))
2.0ms	(cbrt (pow (cbrt (pow (- (exp x) 1.0) 3)) 3))
2.0ms	(- (exp x) 1.0)

simplify42.0ms

Algorithm

egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	370	716
1	998	701
2	5001	686

prune234.0ms

Filtered

137 candidates to 55 candidates (59.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	136	1	137
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	137	4	141

Merged error: 0.0b

Counts

141 → 4

regimes148.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	5
1	13	5

end0.0ms

sample1.3s

Algorithm

intervals

Results

538.0ms	3414×	body	1280	valid
242.0ms	2471×	body	640	valid
116.0ms	12092×	pre	80	true
79.0ms	1308×	body	320	valid
61.0ms	4295×	body	80	valid
23.0ms	604×	body	160	valid

Details

sample50.0ms

simplify4.0ms

prune2.0ms

localize3.0ms

rewrite4.0ms

series3.0ms

simplify51.0ms

prune46.0ms

localize7.0ms

rewrite12.0ms

series8.0ms

simplify40.0ms

prune146.0ms

localize5.0ms

rewrite16.0ms

series13.0ms

simplify33.0ms

prune136.0ms

localize7.0ms

rewrite29.0ms

series12.0ms

simplify42.0ms

prune234.0ms

regimes148.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample1.3s

Profiling